Friction! Physics 40s Friction Ff The magnitude of the force of surface friction is the product of the coefficient of friction and the magnitude of the normal force. The direction of the force of friction is always opposite to the direction of the motion. Friction • Definition: the force that opposes the motion of one surface past another • Dependent upon: 1) type of material • 2) how tightly pressed they are together (more weight =more • friction) • It’s time to experience friction, so rub your hands together. Why would a snowboarder wax the board? What conditions would change the frictional force as they move downhill? Characteristics of friction ALWAYS opposes motion a) it will slow it b) or prevent it from moving Creates heat 3) Symbol is lowercase ‘f’…Ff 2 Types of Friction Static 1) 2) prevents motion from starting. Kinetic friction 1) slows objects down. 2) occurs during motion occurs before motion Which is bigger…static or kinetic? It is easier to keep an object moving than start it from rest New Symbol μ – Greek letter “Mu” Coefficient of friction. – μs – coefficient of static friction – μk – coefficient of kinetic friction – depends on materials used and their surface conditions Coefficient of friction: Decimal between 0.0 and 1.0, unitless. Formula for solving friction: Ff = μ FN Application Problems Sand is often placed on an icy road because the sand: Decreases the coefficient of friction between the tires of a car and the road Increases the coefficient of friction between the tires of a car and the road Decrease the gravitational force on a car Increases the normal force of a car on the road An empty cart is being rolled across a warehouse floor. If the cart was filled, the force of kinetic friction between the cart and the floor would Decrease Increase Remain the same A 24 kg crate initially at rest on a horizontal floor requires a 75N horizontal force to set it in motion. Find the coefficient of static friction between the crate and floor. Once the crate is in motion, a horizontal force of 53N keeps it moving with constant velocity. Find the coefficient of kinetic friction between the crate and floor. Static Friction Reaction force to anything trying to start motion •Equal and opposite to applied force. •DOES NOT EXCEED THE APPLIED FORCE, but is equal to it. •Equal and opposite to applied force, until reaches maximum value and motion starts. •friction “breaks” when F is great enough and motion begins. Static Friction Static Frictional Force Breaks at a certain value: fs = s FN fs = force of static friction s = coefficient of static friction FN = Normal force s is a given value. It depends on the object and the surface. Static Friction fs = force of static friction s = coefficient of static friction FN = Normal force (usually weight) Normal force is usually just the weight of the object. FN = Mass* 9.80 m/s2 IMPORTANT!!!!! If the surface is not horizontal use trig. Multiply by cos of the angle of incline. Almost always: General Notes on Friction μs > μk It is easier to keep an object moving than it is to start from rest. Think about pushing a car. Both are almost always less than 1. If it was greater than one, it would be easier to pick the object up and carry it than it would be to push it across the flat surface (something like velcro) Problem Box: How much force is needed to “budge” this box? If we keep pushing that hard, what will the acceleration be?